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Group Theoretical Methods in Physics

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Cover of 'Group Theoretical Methods in Physics'

Table of Contents

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    Book Overview
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    Chapter 1 Non-compact groups and irreducible representations
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    Chapter 2 Duality theorems in conformal geometry
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    Chapter 3 Covariant differential operators
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    Chapter 4 Generalized young tableaux and weight multiplicity for classical Lie groups
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    Chapter 5 G(2) ⊃ SU(2) x SU(2) shift operators and scalars
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    Chapter 6 Generalised young tableaux for Lie algebras and superalgebras
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    Chapter 7 The DeSitter symmetry of the Dirac equation
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    Chapter 8 Casimir operators for inhomogeneous classical groups
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    Chapter 9 Construction and unitary representations of the non - compact groups of supergravity
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    Chapter 10 A new look at group orthogonality relations
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    Chapter 11 Lie supergroups and graded Lie groups
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    Chapter 12 The invariants of the nondegenerate representations of the group of the pseudo — orthogonal matrices SO(P,1)
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    Chapter 13 Topological and algebraic structure of linear problems associated with completely integrable systems
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    Chapter 14 Infinite dimensional symmetry algebras in integrable systems
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    Chapter 15 Scattering and transfer in some group theoretical potentials
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    Chapter 16 Reduction of supersymmetric σ-models on graded manifolds
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    Chapter 17 Two dimensional σ-models and harmonic maps from S 2 to S 2n
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    Chapter 18 Completely integrable Hamiltonian systems and the separation of variables
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    Chapter 19 Conformally invariant pure spinor models
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    Chapter 20 “Exact solvability in chiral and gauge theories”
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    Chapter 21 An inverse scattering transform technique for stationary Axi-symmetric Einsteins-Maxwell fields
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    Chapter 22 The symmetric space property and the embedding problem for stationary Axi-symmetric Einstein-Maxwell fields
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    Chapter 23 Self-dual Yang-Mills as a totally integrable system
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    Chapter 24 Constrained Hamiltonian systems
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    Chapter 25 Backlund problem,differential algebra and group theory
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    Chapter 26 Are atomic Hartree-Fock equations linearizable?
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    Chapter 27 Oscillator-like unitary representations of non-compact groups and supergroups and extended supergravity theories
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    Chapter 28 Gravity, supergravities and integrable systems
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    Chapter 29 Free graded differential superalgebras
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    Chapter 30 Relativistic wave equations from supergroup quantization
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    Chapter 31 Generalized Kerr-Schild transformation
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    Chapter 32 Adding a Λ-term to pp-wave solutions of the Einstein field equations
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    Chapter 33 Aspects of a spin(1,4) gauge theory with Kaluza-Klein symmetry
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    Chapter 34 Composite gravity and composite supergravity
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    Chapter 35 Labelling of irreducible representations of super Lie algebras
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    Chapter 36 Tensorial properties of incommensurate crystals
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    Chapter 37 Bifurcations and symmetry changes in crystals
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    Chapter 38 The structure of space — Groups'unitary representations
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    Chapter 39 Band structure of almost periodic potentials
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    Chapter 40 Space group representations for crystal structure types
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    Chapter 41 Selection rules for polymers
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    Chapter 42 Automorphism symmetries of space group selection rules
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    Chapter 43 Invariant formulation for the zeros of covariant vector fields
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    Chapter 44 Associated corepresentations and symmetry of Clebsch-Gordan coefficients
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    Chapter 45 Generalized and symmetrized Clebsch Gordan coefficients for antiunitary groups
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    Chapter 46 Generalized coupling coefficients for space groups
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    Chapter 47 Active representations of space groups based on the cubic lattice
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    Chapter 48 Reduced large N models
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    Chapter 49 Derivation of infinite-component wave equations from field theory
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    Chapter 50 Maximal symmetries on potentials and gauge invariance
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    Chapter 51 Ghosts, Anomalies and the geometry of gauge fields
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    Chapter 52 Colour algebras and generalized statistics
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    Chapter 53 The branching rule of Weyl and the quantum number b(λ 1 , λ 2 , λ 3 )
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    Chapter 54 On a new regularization method for Feynman diagrams
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    Chapter 55 Explicit realization of E 8
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    Chapter 56 Dynamical symmetry breaking in SU(2) × U(1) in weak coupling limit
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    Chapter 57 Dynamical unification of fermions and gauge bosons for internal symmetry and gravity
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    Chapter 58 Q =I 3 + 12Y. WHY?
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    Chapter 59 Examples of group contraction
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    Chapter 60 Symmetry breaking in the spectrum generating group and its experimental tests
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    Chapter 61 Construction of the dynamical symmetry group of the relativistic harmonic oscillator by the Infeld-Hull factorization method
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    Chapter 62 Dynamical semigroups for resonances in rigged Hilbert spaces
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    Chapter 63 Extrema of Landau and Higgs polynomials and zeros of renormalization-group equations
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    Chapter 64 Group contraction and macroscopic quantum systems
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    Chapter 65 The Interacting Boson Model and its connection with group theory
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    Chapter 66 Boson mappings in nuclear physics. A brief and prejudiced survey
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    Chapter 67 Does accidental degeneracy imply a symmetry group?
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    Chapter 68 “A hidden symmetry incollective excitations of many-body systems”
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    Chapter 69 The U(6) symmetry in the microscopic collective model
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    Chapter 70 SO(2n+1) in an [SU(2)] n basis: Symmetric representations
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    Chapter 71 A formalism for the microscopic interacting boson model with non-degenerate orbits
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    Chapter 72 SU(3) in an 0(3) basis: Eigenvalue spectrum of the Q l 0 AND O l 0 operators
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    Chapter 73 SU(4) in an SO(4) basis : Shift operator technique
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    Chapter 74 The algebraic geometry of multimonopoles
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    Chapter 75 Dimensional reduction, spinor fielks and characteristic classes
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    Chapter 76 Graded bundles in the Ogievetsky-Sokatchev supergravity
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    Chapter 77 Analysis and comparison of different ways of identification of spin functions variables
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    Chapter 78 A generalized imprimitivity theorem for a class of POV — measures
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    Chapter 79 Inversions in twistor space
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    Chapter 80 Physical group theory and Euclidean space
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    Chapter 81 Some aspects of random walks on groups
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    Chapter 82 Ising model on finitely presented groups
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    Chapter 83 Self-triality in statistical mechanics and field theory
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    Chapter 84 Symmetries of finite hard rod systems
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    Chapter 85 Influences of lattice dimension d and character of spin-interactions on the thermodynamics of Ising models
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    Chapter 86 Gauge invariance in the strong coupling BCS-model
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    Chapter 87 On the algebraic properties of the Luttinger model
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    Chapter 88 Dynamical groups and coexistence phenomena
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Title
Group Theoretical Methods in Physics
Published by
ADS, January 2006
DOI 10.1007/3-540-12291-5
ISBNs
978-3-54-012291-3, 978-3-54-039621-5
Editors

Serdaroğlu, M., Ínönü, E.

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The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Austria 1 100%

Demographic breakdown

Readers by professional status Count As %
Student > Postgraduate 1 100%
Readers by discipline Count As %
Physics and Astronomy 1 100%

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